Zobrazeno 1 - 10 of 14 pro vyhledávání: '"Piero, Cipriani"'
1
Report
Dynamical Instability and Statistical Behaviour of N-Body Systems
Autor: Piero, Cipriani, Maria, Di Bari
Publikováno v: Planet.Space Sci. 46 (1998) 1499
We here describe the possibility of a synthetic description of the onset of Chaos in many degrees of freedom dynamical systems within the framework of the geometric description of dynamics. We show how this approach to instability helps to single out
Externí odkaz: http://arxiv.org/abs/chao-dyn/9709022
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2
Report
Geometry and Chaos on Riemann and Finsler Manifolds
Autor: Maria, Di Bari, Piero, Cipriani
Publikováno v: Planet.Space Sci. 46 (1998) 1543
In this paper we discuss some general aspects of the so-called "geometrodynamical approach" (GDA) to Chaos and present some results obtained within this framework. In order to support the claim that the GDA isn't simply a mere re-transcription of the
Externí odkaz: http://arxiv.org/abs/chao-dyn/9709023
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3
[Untitled]
Autor: Piero Cipriani, Marco Pettini
Publikováno v: Astrophysics and Space Science. 283:347-368
An effective Microcanonical Thermodynamics of self gravitating systems(SGS) is proposed, analyzing the well known obstacles thought to prevent the formulation of a rigorous Statistical Mechanics (SM), as those due to the formal unboundedness of avail
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ca9cfc195ca82dfb8a7a998d509967e1
https://doi.org/10.1023/a:1021690515487
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4
Some critical remarks on relaxation inN-body systems
Autor: Giuseppe Pucacco, Piero Cipriani
Publikováno v: Il Nuovo Cimento B Series 11. 109:325-330
We analyse in detail the origin of some controversial points concerning the relationships between thechaotic behaviour of dynamics and therelaxation properties of Hamiltonian systems with many degrees of freedom (m.d.f.), showing that most claims exi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::48b99dddda66e1223062ef608d67650e
https://doi.org/10.1007/bf02727295
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6
FAST INSTABILITY INDICATOR IN FEW DIMENSIONAL DYNAMICAL SYSTEMS
Autor: Maria Di Bari, Piero Cipriani
Publikováno v: The Ninth Marcel Grossmann Meeting.
Using the tools of Differential Geometry, we define a new > chaoticity indicator, able to detect dynamical instability of trajectories much more effectively, (i.e. "quickly") than the usual tools, like Lyapunov Characteristic Numbers (LCN's) or Poinc
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0d283eb9bf4860f0a8f6a5a2e258cd24
https://doi.org/10.1142/9789812777386_0097
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8
On the clustering phase transition in self-gravitating N-body systems
Autor: Piero Cipriani, Monica Cerruti-Sola, Marco Pettini
The thermodynamic behaviour of self-gravitating $N$-body systems has been worked out by borrowing a standard method from Molecular Dynamics: the time averages of suitable quantities are numerically computed along the dynamical trajectories to yield t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5008cca8f5c5ef60631eaeace7b9c59b
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10
Geometrodynamics, Chaos and Statistical Behaviour of N-Body Systems
Autor: Dino Boccaletti, Giuseppe Pucacco, M. Di Bari, Piero Cipriani
Publikováno v: Chaos in Gravitational N-Body Systems ISBN: 9789401066235
We use a geometrical description of the dynamics of Hamiltonian systems to single out the sources of instability (and of Chaos, if any). We show that: A) the instability is driven by the fluctuations of some geometrical invariants, rather than by the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8d23e835f082870328280faf73781e49
https://doi.org/10.1007/978-94-009-0307-4_12
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